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from manimlib.imports import *
import numpy as np
def function(coordinate):
x,y = coordinate[:2]
return np.array([
x,
y,
2 - x**2 - y**2
])
class ThreeDVector_one(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
self.add(axes)
self.set_camera_orientation(phi=75*DEGREES,theta=45*DEGREES,distance=40)
self.begin_ambient_camera_rotation(rate=0.5)
surface = ParametricSurface(
lambda x, y: np.array([
x,
y,
2 - x**2 - y**2
]),u_min=-2,u_max=2, v_min=-2,v_max=2).set_color(RED_E).fade(0.7)
probe = Sphere(radius = 0.2).set_color(PURPLE_E)
probe_one = Sphere(radius = 0.1).set_color(PURPLE_E).move_to(np.array([0,0,2.1]))
text_one_b = TexMobject(r" \textrm{ reads 0 at local maximum }").next_to(probe, RIGHT, buff = SMALL_BUFF)
name = TextMobject("PROBE2.0 ").next_to(probe, DOWN, buff = SMALL_BUFF).scale(0.5)
text = VGroup(probe, text_one_b, name).to_edge(1.5*UP+0.5*LEFT).scale(0.5)
self.play(ShowCreation(surface))
self.add(probe_one)
field = VectorField(function).scale(0.8)
self.play(FadeIn(field))
self.add_fixed_in_frame_mobjects(text)
self.wait(3)
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